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Identifier
Values
=>
Cc0005;cc-rep
[]=>0 [1,0]=>0 [1,0,1,0]=>0 [1,1,0,0]=>0 [1,0,1,0,1,0]=>0 [1,0,1,1,0,0]=>0 [1,1,0,0,1,0]=>0 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>7 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>8 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5
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Description
The number of valleys of a Dyck path not on the x-axis.
That is, the number of valleys of nonminimal height. This corresponds to the number of -1's in an inclusion of Dyck paths into alternating sign matrices.
Code
def statistic(r):
    p=r.heights()
    lp=0
    for y in range(len(p)-2):
        if p[y]>p[y+1]
Created
Mar 25, 2013 at 17:32 by Jessica Striker
Updated
Jan 11, 2018 at 15:13 by Martin Rubey